Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/2330

Title: Solitary waves propagating over variable topography
Authors: Grimshaw, Roger H.J.
Issue Date: 2006
Abstract: Solitary water waves are long nonlinear waves that can propagate steadily over long distances. They were first observed by Russell in 1837 in a now famous report [26] on his observations of a solitary wave propagating along a Scottish canal, and on his subsequent experiments. Some forty years later theoretical work by Boussinesq [8] and Rayleigh [25] established an analytical model. Then in 1895 Korteweg and de Vries [21] derived the well-known equation which now bears their names. Significant further developments had to wait until the second half of the twentieth century, when there were two parallel developments. On the one hand it became realised that the Korteweg-de Vries equation was a valid model for solitary waves in a wide variety of physical contexts. On the other hand came the discovery of the soliton by Kruskal and Zabusky [27], with the subsequent rapid development of the modern theory of solitons and integrable systems.
Description: This is a pre-print.
URI: https://dspace.lboro.ac.uk/2134/2330
Appears in Collections:Pre-prints (Maths)

Files associated with this item:

File Description SizeFormat
06-22.pdf192.57 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.